The Research and Development Department of an Automobile Manufacturer Has $R ( x ) = \frac { 5 } { 2 } x$

Multiple Choice

The research and development department of an automobile manufacturer has determined that when a driver is required to stop quickly to avoid an accident, the distance (in feet) the car travels during the driver's reaction time is given by $R ( x ) = \frac { 5 } { 2 } x$ , where x is the speed of the car in miles per hour.The distance (in feet) traveled while the driver is braking is given by $B ( x ) = \frac { 1 } { 11 } x ^ { 2 }$ .Find the function that represents the total stopping distance T.

A) $T = - \frac { 5 } { 2 } x + \frac { 1 } { 11 } x ^ { 2 }$
B) $T = \frac { 5 } { 2 } x - \frac { 1 } { 11 } x ^ { 2 }$
C) $T = \frac { 5 } { 2 } x ^ { 2 } + \frac { 1 } { 11 } x ^ { 2 }$
D) $T = - \frac { 5 } { 2 } x - \frac { 1 } { 11 } x ^ { 2 }$
E) $T = \frac { 5 } { 2 } x + \frac { 1 } { 11 } x ^ { 2 }$